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Solve the triangles (find all parts that are not given). 1.

*a*

*b*

*c*

5. 3.

*a*

*b*

*c*

*a*

*c*

Name ____________________________ Period _____ 2.

*a*

*c*

4.

*a*

*b*

*c*

Find the area of the triangle. 6.

*b*

*c*

7.

*b*

*c*

Determine if a triangle can be formed and use Heron’s formula to find the area. 8.

*a*

*b*

*c*

9.

*a*

*b*

*c*

10.

*a*

*b*

*c*

11. A parallelogram has sides of 18 and 26 ft and an angle of 39⁰. Find the shorter diagonal. 12. Find the area of a regular hexagon inscribed in a circle of radius 12 inches. 13. Find the area of a regular nonagon (9 sides) inscribed in a circle of radius 10 inches.

A 14. Find the area of a regular hexagon circumscribed about a circle of radius 12 inches. (Hint: start by finding the distance from a vertex of the hexagon to the center of the circle.) 15. Find the area of a regular nonagon (9 sides) circumscribed about a circle of radius 10 inches. 16. Juan wants to find the distance between two points A and B on opposite sides of a building. He locates a point C that is 110 ft from A and 160 ft from B. If the angle at C is 54⁰, find distance AB. A B 110 ft 54 ⁰ 160 ft C 17. Tony must find the distance from A to B on opposite sides of a lake. He locates a point C that is 860 ft from A and 175 ft from B. He measures the angle at C to be 78⁰. Find distance AB. B 175 ft 78 ⁰ C 860 ft